Fixed a typo.
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\begin{theorem}[Riemann's Rearrangement Theorem]
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\label{theorem:riemann-rearrangement}
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Let $\seq{x_n} \subset \real$ and $N = P \sqcup N$ such that $x_n \ge 0$ for all $n \in P$ and $x_n \le 0$ for all $n \in N$, then
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Let $\seq{x_n} \subset \real$ and $\natp = P \sqcup N$ be a partition such that $x_n \ge 0$ for all $n \in P$ and $x_n \le 0$ for all $n \in N$, then
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\begin{enumerate}
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\item If $\sum_{n \in P}x_n = \infty$ and $\sum_{n \in N}x_n = -\infty$, then there exists bijections $\sigma, \tau: \natp \to \natp$ such that
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